unication line capable of transmitting at a rate of 50 Kbits/sec will be used to accommodate 10 sessions each generating Poisson traffic at a rate 150 packets/min. Packet length are exponentially distributed with mean 1000 bits. For each session, find the average number of packets in queue, the average number in the system, and the average delay per packet when the line is allocated to the sessions by usin

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter20: Queuing Theory
Section20.4: The M/m/1/gd/∞/∞ Queuing System And The Queuing Formula L = Λw
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A communication line capable of transmitting at a rate of 50 Kbits/sec
will be used to accommodate 10 sessions each generating Poisson traffic at a rate 150 packets/min.
Packet length are exponentially distributed with mean 1000 bits. For each session, find the average
number of packets in queue, the average number in the system, and the average delay per packet
when the line is allocated to the sessions by using:


i) 10 equal-capacity time-division multiplexed channels;
ii) statistical multiplexing.

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